Quantum super torus and super mirror symmetry

There is a mirror symmetry between symplectic manifolds and complex manifolds. In this paper, we describe the super version of mirror symmetry. One side is the super symplectic torus and the other side is the noncommutative super abelian varieties. We compare the super Lagrangian in super symplectic torus with the super 2-form on super abelian varieties. Published by AIP Publishing.